Aretakis Charges and Asymptotic Null Infinity

Abstract

We construct a relation between the Aretakis charge of any extreme black hole and the Newman-Penrose charge. This is achieved by constructing a conformal correspondence between extreme black holes and what we call weakly asymptotically flat space-times. Under this correspondence the Newman-Penrose charge of the weakly asymptotically flat space-time maps on to the Aretakis charge of the extreme black hole. Furthermore, we generalise the conformal isometry displayed by the extreme Reissner-Nordström solution to a novel conformal symmetry that acts within a class of static STU supergravity black holes.

25 pages

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Cited by in corpus (18)

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• A non-degenerate scattering theory for the wave equation on extremal Reissner-Nordstrom
• Conformal Symmetries for Extremal Black Holes with General Asymptotic Scalars in STU Supergravity
• General relation between Aretakis charge and Newman-Penrose charge
• On Late Time Tails in an Extreme Reissner-Nordström Black Hole: Frequency Domain Analysis
• Generalised Couch-Torrence Symmetry for Rotating Extremal Black Holes in Maximal Supergravity
• Horizon Hair from Inversion Symmetry
• Gaussian null coordinates, near-horizon geometry and conserved charges on the horizon of extremal non-dilatonic black $p$-branes
• The Aretakis constants and instability in general spherically symmetric extremal black hole spacetimes: higher multipole modes, late-time tails, and geometrical meanings
• Horizon Instability of the Extremal BTZ Black Hole
• Revisiting the Aretakis constants and instability in two-dimensional Anti-de Sitter spacetimes
• Gaussian Null Coordinates for Rotating Charged Black Holes and Conserved Charges
• Linear Newman-Penrose charges as subleading BMS and dual BMS charges
• Aretakis Hair for Extreme Kerr Black Holes with Axisymmetric Scalar Perturbations
• Conformal isometry of the six-dimensional black string and dualities of null geodesics